Understanding Inequalities with Mixed Numbers
Mixed numbers combine whole numbers and fractions!
When comparing mixed numbers (like 2½ and 1¾), we need to look at both the whole number part and the fractional part. Inequalities (>, <, =) help us show which mixed number is larger or if they're equal.
How to Compare Mixed Numbers
1️⃣ Compare whole numbers first - the bigger whole number means a bigger mixed number
2️⃣ If whole numbers are equal, compare the fraction parts
3️⃣ Remember to find common denominators when comparing fractions!
Let's Practice Together!
Example 1: Which is greater?
Compare: \( 3\frac{2}{5} + 1\frac{1}{2} \) ⬜ \( 5\frac{1}{4} - \frac{3}{4} \)
First, solve both sides:
Left side: \( 3\frac{2}{5} + 1\frac{1}{2} = 4\frac{9}{10} \)
Right side: \( 5\frac{1}{4} - \frac{3}{4} = 4\frac{2}{4} = 4\frac{1}{2} \)
\( 4\frac{9}{10} > 4\frac{1}{2} \) because \( \frac{9}{10} > \frac{1}{2} \)!
So the correct symbol is >
Example 2: Fill in the blank
\( 2\frac{3}{8} + 1\frac{1}{2} \) ⬜ \( 4\frac{1}{4} - \frac{5}{8} \)
Solve both sides and choose the correct inequality symbol (<, >, or =)
Left side: \( 2\frac{3}{8} + 1\frac{4}{8} = 3\frac{7}{8} \)
Right side: \( 4\frac{2}{8} - \frac{5}{8} = 3\frac{5}{8} \)
\( 3\frac{7}{8} > 3\frac{5}{8} \), so the correct symbol is >
Parent Tips 🌟
- Kitchen fractions: Use measuring cups to visually compare mixed numbers (like 1½ cups vs 1¾ cups).
- Number line practice: Draw number lines to plot mixed numbers and see which is greater.
- Real-world problems: Create word problems with pizza slices or candy bars to make comparisons fun and practical.